TSTP Solution File: GEO200+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:22:54 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  12 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   83 (  33   ~;  34   |;   6   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   62 (  58   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,plain,
    $false,
    inference(subsumption_resolution,[],[f84,f80]) ).

fof(f80,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f69,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685',ci2) ).

fof(f69,plain,
    distinct_points(sK1,sK0),
    inference(unit_resulting_resolution,[],[f54,f61,f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( distinct_points(X1,X2)
      | distinct_points(X0,X2)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( distinct_points(X1,X2)
        | distinct_points(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685',apart4) ).

fof(f61,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685',apart1) ).

fof(f54,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
    & distinct_points(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f42,f52]) ).

fof(f52,plain,
    ( ? [X0,X1] :
        ( ~ equal_lines(line_connecting(X0,X1),line_connecting(X1,X0))
        & distinct_points(X0,X1) )
   => ( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
      & distinct_points(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ? [X0,X1] :
      ( ~ equal_lines(line_connecting(X0,X1),line_connecting(X1,X0))
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X0,X1] :
        ( distinct_points(X0,X1)
       => equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685',con) ).

fof(f84,plain,
    apart_point_and_line(sK0,line_connecting(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f69,f66,f65,f63,f79,f59]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_lines(X2,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | apart_point_and_line(X1,X3)
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X0,X2)
      | ~ distinct_lines(X2,X3)
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3] :
      ( ( distinct_lines(X2,X3)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X3,X4] :
      ( ( distinct_lines(X3,X4)
        & distinct_points(X0,X1) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X3)
        | apart_point_and_line(X0,X4)
        | apart_point_and_line(X0,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685',cu1) ).

fof(f79,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f69,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685',ci1) ).

fof(f63,plain,
    distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f55,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( equal_lines(X0,X1)
      | distinct_lines(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( equal_lines(X0,X1)
      | distinct_lines(X0,X1) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ distinct_lines(X0,X1)
     => equal_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( equal_lines(X0,X1)
    <=> ~ distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685',ax2) ).

fof(f55,plain,
    ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
    inference(cnf_transformation,[],[f53]) ).

fof(f65,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f54,f56]) ).

fof(f66,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f54,f57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.32  % Computer : n010.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 18:43:04 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_NEQ problem
% 0.10/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.FpKRMC3FnX/Vampire---4.8_29685
% 0.60/0.80  % (29794)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80  % (29798)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80  % (29797)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80  % (29796)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (29799)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80  % (29795)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.80  % (29801)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80  % (29800)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.80  % (29799)Refutation not found, incomplete strategy% (29799)------------------------------
% 0.60/0.80  % (29799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (29799)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (29799)Memory used [KB]: 1096
% 0.60/0.80  % (29799)Time elapsed: 0.003 s
% 0.60/0.80  % (29799)Instructions burned: 2 (million)
% 0.60/0.80  % (29799)------------------------------
% 0.60/0.80  % (29799)------------------------------
% 0.60/0.80  % (29797)First to succeed.
% 0.60/0.80  % (29801)Refutation not found, incomplete strategy% (29801)------------------------------
% 0.60/0.80  % (29801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (29800)Also succeeded, but the first one will report.
% 0.60/0.80  % (29801)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (29801)Memory used [KB]: 1102
% 0.60/0.80  % (29801)Time elapsed: 0.003 s
% 0.60/0.80  % (29801)Instructions burned: 3 (million)
% 0.60/0.80  % (29801)------------------------------
% 0.60/0.80  % (29801)------------------------------
% 0.60/0.81  % (29797)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (29797)------------------------------
% 0.60/0.81  % (29797)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (29797)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (29797)Memory used [KB]: 1107
% 0.60/0.81  % (29797)Time elapsed: 0.004 s
% 0.60/0.81  % (29797)Instructions burned: 4 (million)
% 0.60/0.81  % (29797)------------------------------
% 0.60/0.81  % (29797)------------------------------
% 0.60/0.81  % (29792)Success in time 0.481 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------